GCD of 292, 800, 347, 298 Calculator

Given Input numbers are 292, 800, 347, 298

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 292, 800, 347, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 800, 347, 298 is 1.

Therefore, GCD of numbers 292, 800, 347, 298 is 1

Given Input Data is 292, 800, 347, 298

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 347 is 347

Prime Factorization of 298 is 2 x 149

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(292, 800) = 58400

GCD(292, 800) = ( 292 x 800 ) / 58400

GCD(292, 800) = 233600 / 58400

GCD(292, 800) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 347

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 347) = 1388

GCD(4, 347) = ( 4 x 347 ) / 1388

GCD(4, 347) = 1388 / 1388

GCD(4, 347) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 292, 800, 347, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 198, 347, 926
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• GCD of 127, 566, 893, 739

1. What is the GCD of 292, 800, 347, 298?

GCD of 292, 800, 347, 298 is 1

2. Where do I get the detailed procedure to find GCD of 292, 800, 347, 298?

You can find a detailed procedure to find GCD of 292, 800, 347, 298 on our page.

3. How to find GCD of 292, 800, 347, 298 on a calculator?

You can find the GCD of 292, 800, 347, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.